Hey all,

I'm trying to find every $\displaystyle k$ for which this is true: $\displaystyle mn \equiv m^2+n^2 (mod_k) \Longleftrightarrow m=n=0$. I'm actually not sure if there are any, and I have no idea how to proceed. Anyone...?

Thank you!!

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- Dec 4th 2005, 01:40 PMjuefmodulo stuff
Hey all,

I'm trying to find every $\displaystyle k$ for which this is true: $\displaystyle mn \equiv m^2+n^2 (mod_k) \Longleftrightarrow m=n=0$. I'm actually not sure if there are any, and I have no idea how to proceed. Anyone...?

Thank you!! - Dec 8th 2005, 01:20 PMrgep
Did you mean m=n=0 or just m==n==0 mod k? If the latter then consider, for example, the difference between k = 7 and k = 11.